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International Mathematics Research Notices (2000) 2000:527-549, doi:10.1155/S1073792800000295
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Copyright © 2000 Hindawi Publishing Corporation. All rights reserved.

A new method in Fano geometry

Ziv Ran and Herb Clemens

We give some bounds on the anticanonical degrees of Fano varieties with Picard number 1 and mild singularities. The proof is based on a study of positivity properties of sheaves of differential operators on ample line bundles.


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